What is the asymptotes of f(x)=(x+4)/(x^3-12x^2+32x) ?

The asymptotes of f(x)=(x+4)/(x^3-12x^2+32x) is Vertical: x=0,x=4,x=8,Horizontal: y=0

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asymptotes of f(x)=(x+4)/(x^3-12x^2+32x)

asymptotes

f (x) = \frac{x + 4}{x ^{3} - 12 x ^{2} + 32 x}

Vertical : x = 0, x = 4, x = 8, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{x + 4}{x ^{3} - 12 x ^{2} + 32 x} : x = 0, x = 4, x = 8

Horizontal Asymptotes of

\frac{x + 4}{x ^{3} - 12 x ^{2} + 32 x} : y = 0

Slant Asymptotes of

\frac{x + 4}{x ^{3} - 12 x ^{2} + 32 x} :

None

Vertical : x = 0, x = 4, x = 8, Horizontal : y = 0

f (x) = 2 x^{2} - x + 7

(- 10, 21), (8, - 6)

(0, 6), (- 2, - 3)

(1, 5), (- 7, 8)

\frac{x + 1}{x - 2}

What is the asymptotes of f(x)=(x+4)/(x^3-12x^2+32x) ?
The asymptotes of f(x)=(x+4)/(x^3-12x^2+32x) is Vertical: x=0,x=4,x=8,Horizontal: y=0